document.write( "Question 1071153: Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. \r
\n" ); document.write( "\n" ); document.write( "3x - 2y + 2z -w =2
\n" ); document.write( "4x + y + z + 6w =8
\n" ); document.write( "-3x + 2y - 2z + w=5
\n" ); document.write( "5x + 3z - 2w=1
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Algebra.Com's Answer #686083 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "On your TI-83 or 84 calculator,\r\n" );
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document.write( "Press 2ND x-1 to get the MATRIX menu\r\n" );
document.write( "Scroll right to highlight EDIT\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "Press 4\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "Press 5\r\n" );
document.write( "Press ENTER\r\n" );
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document.write( "Press 3 ENTER -2 ENTER 2 ENTER -1 ENTER 2 ENTER\r\n" );
document.write( "for the first row and ENTER after each of these \r\n" );
document.write( "on the other three rows:\r\n" );
document.write( "   4 1  1 6 8 \r\n" );
document.write( "  -3 2 -2 1 5 \r\n" );
document.write( "   5 0 3 -2 1  (pressing a 0 for the missing term in y\r\n" );
document.write( "                on the 4th row.\r\n" );
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document.write( "Press 2ND MODE (for QUIT to go to the main screen)\r\n" );
document.write( "Press 2ND x-1 to get the MATRIX menu again\r\n" );
document.write( "highlight MATH\r\n" );
document.write( "Scroll to B:rref\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "Press 2ND x-1 to get the MATRIX menu again\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "Press )\r\n" );
document.write( "Press ENTER\r\n" );
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document.write( "To make the decimals into fractions press MATH ENTER ENTER\r\n" );
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document.write( "Scroll right and see that the matrix is\r\n" );
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document.write( "1 0 0 41/13  0\r\n" );
document.write( "0 1 0 -9/13  0\r\n" );
document.write( "0 0 1 -77/13 0\r\n" );
document.write( "0 0 0 0      1\r\n" );
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document.write( "The bottom row \r\n" );
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document.write( "0 0 0 0      1\r\n" );
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document.write( "means this equation:\r\n" );
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document.write( "0x + 0y + 0z + 0w = 1 \r\n" );
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document.write( "0 = 1, so the system is inconsistent. \r\n" );
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document.write( "After all that, no solution exists! Phooey!\r\n" );
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document.write( "Good thing we did it by calculator instead of\r\n" );
document.write( "by hand.  That would have really been a let-down! :)\r\n" );
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document.write( "Edwin
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